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A Ferris wheel with a diameter of 40 m completes one revolution every 60 seconds. The lowest point of the wheel is 5 m

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A Ferris wheel with a diameter of 40 m completes one revolution every 60 seconds. The lowest point of the wheel is 5 m above the ground. A person starts the Ferris ride from the top of the wheel at t=0 seconds. (a) Determine an equation modelling the height of the person on the Ferris wheel as a function of time. (b) Find the minimum and the maximum heights of the ride and the time they occur. (c) Determine how high the person will be after riding for 40 seconds. (d) Determine the times when the person will reach 15 m above the ground?

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